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Finding the Fourth Proportional to 362,782.40, 500,618.14 and 201,631.88

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Solution

The fourth proportional to 362,782.40, 500,618.14 and 201,631.88 is: 278,240.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,782.40 : 500,618.14 = 201,631.88 : x
  2. Step 2: Convert to fraction form
    362,782.40/500,618.14 = 201,631.88/x
  3. Step 3: Cross multiply
    362,782.40x = 500,618.14 × 201,631.88
  4. Step 4: Simplify right side
    362,782.40x = 100,940,577,477.77
  5. Step 5: Solve for x
    x = 100,940,577,477.77/362,782.40
  6. Step 6: Final answer
    x = 278,240.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.